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Fuzzy Probabilities: New Approach and Applications (Studies in Fuzziness and Soft Computing)



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Fuzzy Probabilities: New Approach and Applications (Studies in Fuzziness and Soft Computing)

ISBN  3540250336
Category  Soft Computing
Tags  fuzzy,  
fuzzy logic,  
"soft computing",  
computing,  
fuzzy set,  
fuzzy set theory,  
proba,  
fuzz,  
3540250336,  
"fuzzy",  
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Description

In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.




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